Question
Download Solution PDFजर \((x+\frac{1}{x})\) = 5, आणि x > 1, \((x^8-\frac{1}{x^8} )\) चे मूल्य काय आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
\((x+\frac{1}{x})\) = 5 आणि x > 1
गणना:
\((x+\frac{1}{x})\) = 5
तर x2 + 1/x2 = 25 - 2
⇒ 23
परत,
x - 1/x = √21
x2 - 1/x2 =5√21
⇒ x4 + 1/x4 = 529 - 2
⇒ 527
x4 - 1/x4 =115√21
x8 - 1/x8 =( x4 + 1/x4 ) ×(x4 - 1/x4 )
⇒ 115√21 × 527
= 60605√21
∴ योग्य पर्याय 1 आहे
Last updated on Jul 11, 2025
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